PT-symmetry enabled stable modes in multi-core fiber
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866929408630063104 |
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| author | Gratcheva, Tamara Joglekar, Yogesh N. Gopalakrishnan, Jay |
| author_facet | Gratcheva, Tamara Joglekar, Yogesh N. Gopalakrishnan, Jay |
| contents | Open systems with balanced gain and loss, described by parity-time PT-symmetric Hamiltonians have been deeply explored over the past decade. Most explorations are limited to finite discrete models (in real or reciprocal spaces) or continuum problems in one dimension. As a result, these models do not leverage the complexity and variability of two-dimensional continuum problems on a compact support. Here, we investigate eigenvalues of the Schrodinger equation on a disk with zero boundary condition, in the presence of constant, PT-symmetric, gain-loss potential that is confined to two mirror-symmetric disks. We find a rich variety of exceptional points, re-entrant PT-symmetric phases, and a non-monotonic dependence of the PT-symmetry breaking threshold on the system parameters. By comparing results of two model variations, we show that this simple model of a multi-core fiber supports propagating modes in the presence of gain and loss. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_08814 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | PT-symmetry enabled stable modes in multi-core fiber Gratcheva, Tamara Joglekar, Yogesh N. Gopalakrishnan, Jay Optics Numerical Analysis Spectral Theory Open systems with balanced gain and loss, described by parity-time PT-symmetric Hamiltonians have been deeply explored over the past decade. Most explorations are limited to finite discrete models (in real or reciprocal spaces) or continuum problems in one dimension. As a result, these models do not leverage the complexity and variability of two-dimensional continuum problems on a compact support. Here, we investigate eigenvalues of the Schrodinger equation on a disk with zero boundary condition, in the presence of constant, PT-symmetric, gain-loss potential that is confined to two mirror-symmetric disks. We find a rich variety of exceptional points, re-entrant PT-symmetric phases, and a non-monotonic dependence of the PT-symmetry breaking threshold on the system parameters. By comparing results of two model variations, we show that this simple model of a multi-core fiber supports propagating modes in the presence of gain and loss. |
| title | PT-symmetry enabled stable modes in multi-core fiber |
| topic | Optics Numerical Analysis Spectral Theory |
| url | https://arxiv.org/abs/2310.08814 |